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Finding the Fourth Proportional to 26,049, 39,049.56 and 9,405.12

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Solution

The fourth proportional to 26,049, 39,049.56 and 9,405.12 is: 14,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,049 : 39,049.56 = 9,405.12 : x
  2. Step 2: Convert to fraction form
    26,049/39,049.56 = 9,405.12/x
  3. Step 3: Cross multiply
    26,049x = 39,049.56 × 9,405.12
  4. Step 4: Simplify right side
    26,049x = 367,265,797.75
  5. Step 5: Solve for x
    x = 367,265,797.75/26,049
  6. Step 6: Final answer
    x = 14,099.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.